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Breakdown of Smoothness for the Muskat Problem

Author(s): Castro, Angel; Cordoba, Diego; Fefferman, Charles L.; Gancedo, Francisco

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Abstract: In this paper we show that there exists analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down, that is, no longer belongs to C (4).
Publication Date: Jun-2013
Electronic Publication Date: 6-Apr-2013
Citation: Castro, Angel, Cordoba, Diego, Fefferman, Charles, Gancedo, Francisco. (2013). Breakdown of Smoothness for the Muskat Problem. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 208 (805 - 909). doi:10.1007/s00205-013-0616-x
DOI: doi:10.1007/s00205-013-0616-x
ISSN: 0003-9527
Pages: 805 - 909
Type of Material: Journal Article
Journal/Proceeding Title: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Version: Author's manuscript



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